math assignment class eight

• NCERT Solutions
• NCERT Class 8
• NCERT 8 Maths

NCERT Solutions for Class 8 Maths

Ncert solutions for class 8 maths cbse 2023-24 edition – free pdf download.

NCERT Solutions for Class 8 Maths includes all the questions provided in the textbook that is prescribed in accordance with the CBSE Board. The syllabus given for all the classes is completely based on the NCERT curriculum. Hence, preparing for exams using NCERT Solutions will definitely provide students with an advantage.

BYJU’S NCERT Class 8 Solutions for Maths has been designed to help students solve problems with ease. The CBSE 8th Class Solutions for Maths provided here come with well-prepared exercises along with detailed explanations given by our expert teachers that further make learning and understanding concepts an easy task. So, if students have been looking for the most detailed and accurate Class 8 NCERT Solutions for Maths,  which is also free, this is the right place.

Chapter-Wise NCERT Solutions for Class 8 Maths

NCERT Solutions for Class 8th Maths provided here are very beneficial for students. They can use these  NCERT Solutions for Class 8 as a reference while practising the problems and developing better skills along with preparing efficiently for the exams. The exercises are given at the end of every chapter to practise the concepts learned in the chapter.

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers

In this chapter, students will be learning properties related to real numbers, integers, whole numbers, rational numbers and natural numbers – independent, associative and closure. The chapter deals with the role of zero and one, multiplication over addition, representation of rational Numbers on the number line , and searching for rational numbers between two rational numbers. The topics of additive identity (0) and multiplicative identity (1) are also covered in this chapter. There are 2 exercises in this chapter, which contain questions from all the topics present in the chapter.

Also, access the following resources for Class 8 Chapter 1 Rational Numbers  at BYJU’S:

• Rational Numbers Class 8 Notes – Chapter 1
• NCERT Exemplar Class 8 Maths Solutions for Chapter 1 – Rational Numbers
• RD Sharma Solutions for Class 8 Maths Chapter 1 – Rational Numbers

Which is the best app for learning math?

Here, you would have been able to access all the solutions to all the exercises in your class 8 NCERT math textbook. If you want to learn the concepts afresh in a new and exciting way, you should get BYJU’S The Learning App for grade 8.

BYJU’S The Learning App for math for class 8 has:

• 120+ math videos (1600+ minutes of content!)
• ~70 gamified interactive learning experiences
• Important questions
• Summary cards to revise formulae
• Practice tests
• 24 X 7 access to learning resources

BYJU’S The Learning App for grade 8 also covers Biology, Chemistry, Physics, Civics, History, and Geography. 

Just Click here to know more about why BYJU’S The Learning App is the best app for learning math.

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable

The chapter, Linear Equations in One Variable, deals with linear expression in one variable alone. Such equations are known as linear equations in one variable . There are six exercises in this chapter with a total of 65 questions in them. The chapter includes different concepts, including solving linear equations in one variable, some of its applications, reducing equations to a simpler form and word problems related to linear equations in one variable.

Also, access the following resources for Class 8 Chapter 2 Linear Equations in One Variable  at BYJU’S:

• Linear Equations In One Variable Class 8 Notes- Chapter 2
• NCERT Exemplar Class 8 Maths Solutions for Chapter 4 – Linear Equations In One Variable
• RD Sharma Solutions for Class 8 Maths Chapter 9 Linear Equation in One Variable

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals

The chapter Understanding Quadrilaterals of Class 8 Maths provides the students with a proper understanding of the quadrilaterals . The chapter also covers different kinds of polygons, including triangles, quadrilaterals, pentagons, hexagons, etc. The chapter contains 4 exercises which aid the students in understanding these shapes properly.

Also, access the following resources for Class 8 Chapter 3 Understanding Quadrilaterals  at BYJU’S:

• Understanding Quadrilaterals Class 8 Notes – Chapter 3
• Important Questions for Maths Class 8 Chapter 3 Understanding Quadrilaterals
• NCERT Exemplar Class 8 Maths Solutions for Chapter 5 – Understanding Quadrilaterals Practical Geometry
• RD Sharma Solutions for Class 8 Maths Chapter 16 Understanding Shapes- II (Quadrilaterals)

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry

The chapter, Practical Geometry, includes the method of constructing a quadrilateral with various parameters given. The chapter consists of 5 exercises, each dealing with different methods of constructing the quadrilateral. For instance, the first exercise deals with the construction of quadrilaterals when the length of four sides and a diagonal are given; similarly, the second exercise involves the method of construction of quadrilaterals when two diagonals and three sides are given, and so on. Hence, we can conclude that learning this chapter will make the students well-versed in all the concepts of quadrilateral for further classes.

Also, access the following resources for Class 8 Chapter 4 Practical Geometry  at BYJU’S:

• Practical Geometry Class 8 Notes – Chapter 4
• Important Questions Maths Class 8 Chapter 4: Practical Geometry
• RD Sharma Solutions for Class 8 Maths Chapter 18 Practical Geometry (Constructions)

NCERT Solutions for Class 8 Maths Chapter 5 Data Handling

The collection of information that can be used for analysis is known as data. In this chapter, students learn about the organisation and representation of data. Organising the data in a systematic method is referred to as data handling . In this chapter, students learn to represent these data diagrammatically as a pictograph, a bar graph, a double bar graph, a pie chart and a histogram. During the course of this chapter, students will be briefed about the concept of probability or likelihood. There are 3 exercises in this chapter that deal with all the concepts covered in the chapter.

Also, access the following resources for Class 8 Chapter 5 Data Handling  at BYJU’S:

• Data Handling Class 8 Notes- Chapter 5
• Important Questions Class 8 Maths Chapter 5 Data Handling
• NCERT Exemplar Class 8 Maths Solutions for Chapter 2 – Data Handling
• RD Sharma Solutions for Class 8 Maths Chapter 23 Data Handling – I (Classification and Tabulation of Data)

NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots

This chapter, Squares and Square Roots, helps the students learn about the concept of square numbers and the square root of a number. The chapter deals with properties of square numbers, interesting patterns that could be learnt using square numbers, finding the square of a number, Pythagorean triplets , finding square roots through various methods, square roots of decimals and much more.

Also, access the following resources for Class 8 Chapter 6 Square and Square Roots  at BYJU’S:

• Squares and Square Roots Class 8 Notes: Chapter 6
• RD Sharma Solutions for Class 8 Maths Chapter 3 – Squares and Square Roots
• NCERT Exemplar Class 8 Maths Solutions for Chapter 3 – Squares And Square Roots Cubes And Cube Roots
• Important Questions Class 8 Maths Chapter 6- Squares and Square Roots

NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots

In the chapter, Cubes and Cube Roots, students learn about numerous strategies to find out the cubes and cube roots of a number. The chapter discusses finding the cubes of different numbers, some interesting patterns that could be learnt using cubes and finding the cube roots . There are 2 exercises in the chapter that will help the students understand the basics of cubes and cube roots in depth.

Also, access the following resources for Class 8 Chapter 7 Cube and Cube Roots  at BYJU’S:

• Cubes and Cube Roots Class 8 Notes: Chapter 7
• Important Questions Class 8 Maths Chapter 7: Cubes and Cube Roots
• RD Sharma Solutions for Class 8 Maths Chapter 4 – Cubes and Cube Roots

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities

The chapter, Comparing Quantities, helps the students in learning the comparison between the rise and decrease of percentages, market value, sales value, discount, etc. The chapter deals with an important concept that can be used in day-to-day life, Interest. Students learn about simple interest , compound interest calculated half-yearly, quarterly, monthly or yearly, and much more. There are 3 exercises in this chapter which help the students in learning the concept of comparing quantities.

Also, access the following resources for Class 8 Chapter 8 Comparing Quantities  at BYJU’S:

• Important Question Class 8 Maths Chapter 8: Comparing Quantities
• NCERT Exemplar Class 8 Maths Solutions for Chapter 9 – Comparing Quantities
• Comparing Quantities Class 8 Notes: Chapter 8

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities

This chapter, Algebraic Expressions and Identities, helps the students understand the concepts like terms, factors and coefficients related to algebraic expressions. A brief on the basics of monomials , binomials and polynomials is also given in the chapter. Students learn the addition, subtraction and multiplication of algebraic expressions. The concept of identity is also covered in the chapter. The 5 exercises in the chapter cover all the concepts present in algebraic expressions and identities.

Also access the following resources for  Class 8 Chapter 9 Algebraic Expressions and Identities  at BYJU’S:

• Algebraic Expressions and Identities Class 8 Notes: Chapter 9
• RD Sharma Solutions for Class 8 Maths Chapter 6 – Algebraic Expressions and Identities
• NCERT Exemplar Class 8 Maths Solutions for Chapter 7 – Algebraic Expressions And Identities Factorisation
• Important Questions Class 8 Maths Chapter 9 Algebraic Expressions and Identities

NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes

In this chapter, with the help of 3 exercises present, students learn to visualize solid shapes in different dimensions. The chapter is very interesting since it deals with viewing 3D shapes, mapping the space around us, and learning about faces, edges and vertices. The chapter also discusses Euler’s formula , which states that F + V – E = 2, where F is Faces, V is Vertices, and E is Edges, along with its application.

Also, access the following resources for Class 8 Chapter 10 Visualizing Solid Shapes  at BYJU’S:

• Visualising Solid Shapes Class 8 Notes: Chapter 10
• Important Questions Class 8 Maths Chapter 10 Visualising Solid Shapes
• RD Sharma Solutions for Class 8 Maths Chapter 19 Visualising Shapes
• NCERT Exemplar Class 8 Maths Solutions for Chapter 6 – Visualising Solid Shapes

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration

Students in lower classes must have learnt about the area and perimeter of various closed plane figures such as triangles, rectangles, circles, etc. In this chapter, Mensuration , students will learn to solve problems related to the perimeter and area of other plane closed figures like quadrilaterals. Eventually, the students will learn about the surface area and volume of different solid shapes such as a cube, cuboids and cylinders. A total of 4 exercises are present in this chapter.

Also, access the following resources for Class 8 Chapter 11 Mensuration  at BYJU’S:

• Mensuration Class 8 Notes- Chapter 11
• Important Questions Class 8 Maths Chapter 11 Mensuration
• RD Sharma Solutions for Class 8 Maths Chapter 20 Mensuration – I (Area of a Trapezium and a Polygon)
• NCERT Exemplar Class 8 Maths Solutions for Chapter 11 – Mensuration

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers

In the chapter, Exponents and Powers, students learn different concepts, including powers with negative exponents, laws of exponents , use of exponents to express the numbers in standard form and comparison of extremely large numbers with small numbers. The chapter consists of 2 exercises to help the students learn about the topics of exponents and powers.

Also, access the following resources for Class 8 Chapter 12 Exponents and Powers  at BYJU’S:

• NCERT Exemplar Class 8 Maths Solutions for Chapter 8 – Exponents And Powers
• Important Questions Class 8 Maths Chapter 12 Exponents And Powers
• RD Sharma Solutions for Class 8 Maths Chapter 2 – Powers

NCERT Solutions for Class 8 Maths Chapter 13 Direct and Inverse Proportions

This chapter contains 2 exercises with questions based on the concepts of direct proportion and inverse proportion. Two quantities, x and y are said to be in direct proportion if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant. On the other hand, two quantities, x and y, are said to be in inverse proportion if an increase in x causes a proportional decrease in y (and vice-versa) in such a manner that the product of their corresponding values remains constant.

Also, access the following resources for Class 8 Chapter 13 Direct and Inverse Proportions  at BYJU’S:

• Direct and Inverse Proportions Class 8 Maths Notes – Chapter 13
• NCERT Exemplar Class 8 Maths Solutions for Chapter 10 – Direct And Inverse Proportions
• Important Questions Class 8 Maths Chapter 13 Direct and Inverse Proportions
• RD Sharma Solutions for Class 8 Maths Chapter 10 Direct and Inverse Variations

NCERT Solutions for Class 8 Maths Chapter 14 Factorization

In this chapter, students learn to perform Factorization. The topics covered in this chapter include factors of natural numbers and algebraic expressions , factorisation by regrouping terms and factorisation using identities. The chapter also deals with the division of algebraic expressions that, includes division of a monomial by another monomial, division of a polynomial by a monomial, etc. There are 4 exercises in this chapter that contain questions covering all the topics present in the chapter.

Also, access the following resources for Class 8 Chapter 14 Factorization  at BYJU’S:

• RD Sharma Solutions for Class 8 Maths Chapter – 7 Factorization
• Factorisation Class 8 Notes- Chapter 14
• Important Questions Class 8 Maths Chapter 14 Factorization

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs

In the chapter, Introduction to Graphs, students learn to represent different types of data with various kinds of graphs. The different types of graphs include bar graphs , pie graphs, line graphs and linear graphs. The chapter will help the students in learning how to locate a point and coordinate in a graph. A total of 3 exercises are present in the chapter that will help the students understand the concepts of Graphs.

Also, access the following resources for Class 8 Chapter 15 Introduction to Graphs  at BYJU’S:

• Introduction To Graphs Class 8 Notes- Chapter 15
• Important Questions Class 8 Maths Chapter 15: Introduction to Graphs
• NCERT Exemplar Class 8 Maths Solutions for Chapter 12 – Introduction To Graphs
• RD Sharma Solutions for Class 8 Maths Chapter 27 Introduction to Graphs

NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers

Students, so far, have studied various types of numbers, such as natural numbers, whole numbers, integers and rational numbers . They might have also studied a number of interesting properties of these numbers, finding factors, multiples and the relationships among them. Likewise, in this chapter, students can explore the vast genres of numbers in detail. These ideas can help the students in justifying tests of divisibility. There are 2 exercises in this chapter that covers the topic of playing with numbers.

Also, access the following resources for Class 8 Chapter 16 Playing with Numbers  at BYJU’S:

• Playing With Numbers Class 8 Notes- Chapter 16
• Important Questions Class 8 Maths Chapter 16: Playing with Numbers
• NCERT Exemplar Class 8 Maths Solutions for Chapter 13 – Playing with Numbers
• RD Sharma Solutions for Class 8 Maths Chapter 5 – Playing with Numbers

CBSE Class 8 Maths Solutions of NCERT Book

We are providing chapter-wise NCERT Maths Solutions for Class 8. The solutions provided on this page will help students understand and solve all the NCERT Class 8 mathematics book questions. These solutions are free, and students can view them online on the website or download the PDF.

Solving NCERT Maths question papers and sample papers will also help the students to understand different types of questions as well as the marking scheme. Also, students can learn from NCERT Exemplar Class 8 to practise exemplar problems.

Key Features of BYJU’S NCERT Class 8 Maths Solutions

• These solutions cover all the chapters that are included in the Class 8 Maths book.
• The solutions are given in easy steps to help students understand the concepts better.
• These solutions can be downloaded and referred to at any time and at any place.
• These CBSE 8th Class Maths solutions are available for free, and any student can access them.

These are just a few benefits of using the Solutions of Maths NCERT 8th Class . Students can register with BYJU’S and get the opportunity to learn topics of CBSE or NCERT syllabus for Class 8 Maths or any other Class more effectively. They can learn different topics right from their homes using the internet, where they can browse content on their PCs. Moving on, students can customize their learning experience, and they can do it all at their own pace without worrying about deadlines or any stress. Further, we are providing the best subject experts or mentors who will guide students to learn the subject and its concepts in a more simple and fun manner.

Another benefit that students can experience with BYJU’S is that they can opt to learn NCERT subjects by accessing our solutions anywhere and at any time of the day. In addition, BYJU’S is keen on tracking the progress that students make. Feedback and counselling are provided via periodic assessments. In case students face any doubts while going through the CBSE Class 8 Maths NCERT Solutions , they can always approach our BYJU’S support team to clear all their doubts. Besides, students can bring in all their queries regarding Maths as well as other subjects, including Physics, Chemistry, and Biology. Our responsive team is always ready to answer all types of questions.

Students can also download the BYJU’S app and get complete assistance for Class 8 with a new method of learning through educational videos.

Frequently Asked Questions on NCERT Solutions for Class 8 Maths

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NCERT Solutions For Class 8 - 2024-25

• NCERT Solutions

Class 8 NCERT Solutions - FREE PDF Download

NCERT Solutions for Class 8 is important study material prepared to help students understand concepts taught in their textbooks. These solutions provide step-by-step explanations and answers to all questions in Class 8 NCERT textbooks, covering subjects like Mathematics, Science, Social Science, and English. NCERT Solutions Class 8, prepared by subject experts following the CBSE syllabus, ensures clarity in learning. 

NCERT Solution Class 8 help students grasp complex topics, improve problem-solving skills, and prepare effectively for exams. NCERT Solutions is prepared to support self-learning. They encourage students to explore each subject comprehensively and build a strong foundation for future academic success. Class 8 Question Answers offer an effective method for students to enhance their understanding and confidence in various subjects.

Subject wise NCERT Solutions for Class 8

Mentioned below in the table is the link to subject-wise NCERT solutions for Class 8. The NCERT solutions for Maths, English, Hindi, Science and Social Science are included in the table.

NCERT Solutions for Class 8: Subject-wise Details

Ncert solutions for class 8 maths.

NCERT Solutions For Class 8 Maths is an important study material that helps students understand and excel in mathematics. These solutions offer clear explanations and step-by-step answers to questions in NCERT textbooks. Using NCERT Solutions for Class 8 Maths, students can enhance their problem-solving skills, grasp mathematical concepts, and prepare thoroughly for exams. 

These solutions not only help with homework and practice but also help with revising key topics during examination. All NCERT Solutions for Class 8 Maths in Hindi and English medium are prepared by Master Teachers and are explained clearly and simply, following the latest CBSE Syllabus. NCERT Solutions for Class 8 Maths ensures students build a strong foundation in mathematics.

NCERT Solutions for Class 8 Science

NCERT Solutions For Class 8 Science provides clear and detailed answers to the questions in the NCERT Science textbook, covering all chapters thoroughly. These solutions are prepared by our Master Teachers by following the latest CBSE Syllabus. Using these solutions, students can understand complex scientific concepts, improve their problem-solving skills, and prepare effectively for exams. The NCERT Solutions for Class 8 Science in Hindi and English medium are highly useful for students with difficulty understanding the concepts. It helps cover important topics like cell structure, chemical reactions, or force and pressure, making learning easier and more enjoyable. They help students build a strong foundation in science, making it easier to solve more advanced topics in higher classes. These solutions help students with homework, revision, and exam preparation.

NCERT Solutions Class 8 Social Science

NCERT Solutions for Class 8 Social Science is prepared to help students understand the key concepts and topics in their textbooks. These solutions provide detailed explanations for each chapter, making it easier for students to grasp complex ideas. They cover all subjects under Social Science, including History, Geography, and Civics. The solutions are written in simple language, making them easy for all students. Using these resources, students can improve their comprehension, enhance their exam preparation, and build a strong foundation for higher studies.

NCERT Solutions Class 8 SST Chapter-Wise Book Links

NCERT Solutions for Class 8 English

NCERT Solutions for Class 8 English provide comprehensive answers and explanations for all the questions in the NCERT textbook. These solutions are prepared to help students understand the lessons better and improve their language skills. Each chapter is covered in detail, making it easier for students to grasp complex concepts and themes. The solutions include summaries, important points, and exercises enhancing comprehension and writing abilities. Using these solutions, students can prepare effectively for exams, complete their homework, and develop a strong foundation in English.

Links for NCERT Solutions for Class 8 English Coursebooks

NCERT Hindi Class 8 Solutions

NCERT Hindi Class 8 Solutions is an important material for students studying in the 8th grade. These solutions provide clear and detailed answers to all the questions in the NCERT Hindi textbook. They are prepared to make learning easier and help students understand the concepts better. The solutions cover grammar, prose, poetry, and writing sections, offering comprehensive guidance. Using these solutions, students can prepare well for their exams, do their homework accurately, and improve their Hindi language skills. The solutions cover all chapters and exercises, offering step-by-step explanations. This makes it simpler for students to follow along and grasp the material, ensuring a solid foundation in Hindi.

NCERT Solutions Class 8 Hindi Book Links

NCERT Class 8 Subjects - Marks Weightage

Apart from having the best Class 8th NCERT solutions, knowing the marks Weightage well is necessary, as it helps a lot in the preparations. Every subject carries a total of 100 marks in Class 8, and in that, 20 marks are for internal assessment and 80 for the final examinations.

When to Refer NCERT Solutions for Class 8?

When preparing for Class 8 exams, referring to NCERT Solutions at the right time is important to maximise their benefits. Here are some steps on when and how to use them:

Begin your preparation by thoroughly studying your textbooks.

Make sure you fully understand each chapter before moving on to the next.

Test your understanding by solving exercises without looking at the answers.

After solving a problem, check your answers to find any mistakes.

If you find mistakes, try to correct them using the provided steps.

Once you are comfortable with the chapter, start solving the NCERT textbook questions.

Try solving these questions on your own without referring to the solutions first.

After attempting, compare your answers with the solutions provided.

Correct mistakes if you make mistakes using the NCERT Solutions steps.

Keep practising the NCERT textbook questions until you can answer all of them correctly.

Repeat this process for each chapter to ensure a clear and thorough understanding.

How Can Class 8 NCERT Solutions Help in Exam Preparation?

NCERT Class 8 Question Answers are very helpful for exam preparation. These solutions cover all the important topics and are prepared according to the CBSE syllabus. They simply explain each chapter, making it easier for students to understand and remember. Using these solutions can increase your chances of doing well in exams. Here are some ways NCERT Solutions helps in exam preparation:

Practising many questions from each chapter improves your understanding.

They help clear any doubt and enhance your knowledge.

These solutions help identify your strengths and weaknesses.

Focusing on weak areas is crucial for doing well in exams.

Many questions in exams come from these exercise problems.

Thoroughly studying the solutions for each chapter helps you score well in the subjects.

Other Important NCERT Resources for Class 8

In addition to using NCERT Class 8 solutions, students should use other study materials like NCERT Exemplar, NCERT textbooks, and Revision Notes. These resources are aligned with the CBSE Class 8 syllabus and help students prepare for exams. After finishing the course, students can use these study materials for quick reviews before exams. We've included links to more NCERT resources for Class 8 to help you study effectively for the exams.

FAQs on NCERT Solutions For Class 8 - 2024-25

1. Why is NCERT solutions Class 8 Pdf important?

Having NCERT solution of Class 8 in pdf format is very useful for the students to learn well and get the best preparation. The pdf format of the solution ensures that they can be easily downloaded anytime and anywhere, and can be easily accessed on any device. These pdf formats of the solutions also contain questions and problem statements. It ensures that the students do not need to carry the entire books everywhere. Students can secure good marks referring to them.

2. What are the advantages of having the Class 8 NCERT solution?

There are many advantages of having an NCERT solution for class 8, like:

These solutions are designed by the experts, making sure that the students get a proper understanding of them.

Having the NCERT solutions ensures that the students will not face any hurdles while preparing.

Having the NCERT solutions also makes sure that the students will get the best preparation materials and will not lag anywhere.

These solution materials also contain the explanation of the chapters, making it easier for the students to understand every concept.

In the solution pdfs, the important questions are also marked, and examples of every solution are also stated.

3. What should I do to get a good percentage in Class 8 exams? 

If you are a Class 8 student and wish to get a good percentage in exams then follow the tips given below. 

You must start preparing for the exams at an early stage right from the starting of your academic session. Doing so will enable you to complete your course on time so that you can invest your extra time in revision. 

Try to attend your school daily. 

Revise all subjects and their respective chapters at your home. 

Practice the textbook questions along with the NCERT Solutions of Class 8 to grasp the concepts. 

4. How can I make a study plan for Class 8? 

The steps for making a good study plan for Class 8 are- 

First, you should begin with knowing the faults in your current timetable. You have to rearrange your timetable and do those activities first that are important. For instance, preparing for class tests, home assignments, etc. 

Know when you like to study. Whether you like studying early in the morning or at night.  Just know the time and start studying. 

Be sure to take small breaks every 1-2 hours of studying. You can take a 5 to 10 minutes break and then resume. 

Try to give at least one hour to every subject for revising concepts. However, you can increase or decrease the time duration as per your preference and preparation. 

5. How can I download the NCERT Solutions of Class 8 for different subjects? 

Ans: Here are the steps to download the NCERT Solutions of Class 8 for different subjects. 

There will be a download link for each subject and chapter in this page.

Click on the link.

You will see a download PDF option on that page. 

Click on it to download offline for free.

6. Are subjects of Class 8 easy or difficult? 

Well, the answer to this question depends on the calibre of the student. Some students may find this class easy to clear as they are good at academics. At the same time, there are some students too, who will find this class tough as they are not good in their studies. Such students are recommended to begin with their studies at an early phase so that they can complete their syllabus on time along with understanding the concepts thoroughly. Moreover, they can refer to the NCERT Solutions for all subjects and the chapters for better comprehension. All the study material is available on the Vedantu app and the website. 

7. Why is Vedantu considered the best online learning platform to study for Class 8? 

Vedantu is considered the best online learning platform to study Class 8 due to the following reasons-

It provides different types of study materials including the NCERT Solutions of the chapters, revision notes, important questions, sample question papers, etc., so that the students can learn and understand the concepts clearly. 

These study materials are prepared by professionals who have years of experience in the field of teaching. 

The content in these study materials is easy to comprehend. 

They offer the facility of video tutorials for efficient learning. 

8. Are NCERT Solutions for Class 8 sufficient for exam preparation?

NCERT Solutions for Class 8 covers the entire syllabus according to CBSE guidelines. By solving these solutions, students can perform well in exams as they align closely with the exam pattern.

9. How should I use NCERT Solutions for Class 8 effectively?

Students should read the textbook chapters thoroughly and then use NCERT Solutions to solve the questions provided. Regular practice and understanding of these solutions can help in achieving better marks.

10. Can I use any additional resources along with NCERT Solutions for Class 8?

Students can refer to Vedantu’s NCERT Exemplar problems, additional reference books, practice papers, and sample question papers to further enhance their understanding and preparation.

CBSE Class 8 Study Materials

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

CBSE Worksheets for Class 8 Maths

Algebraic expression and identities CBSE Class 8 Maths Assignment 1 Algebraic expression and identities CBSE Class 8 Maths Assignment 2 Algebraic expression and identities CBSE Class 8 Maths Assignment 3 Algebraic expression and identities CBSE Class 8 Maths Assignment 4 Algebraic expression and identities CBSE Class 8 Maths Assignment 5 Algebraic expression and identities CBSE Class 8 Maths Assignment 6 Algebraic expression and identities CBSE Class 8 Maths Assignment 7 Visualising Solid Shapes CBSE Class 8 Maths Assignment 01 understanding quadrilaterals CBSE Class 8 Maths Assignment a understanding quadrilaterals CBSE Class 8 Maths Assignment b understanding quadrilaterals CBSE Class 8 Maths Assignment 1 understanding quadrilaterals CBSE Class 8 Maths Assignment 2 understanding quadrilaterals CBSE Class 8 Maths Assignment 3 understanding quadrilaterals CBSE Class 8 Maths Assignment 4 understanding quadrilaterals CBSE Class 8 Maths Assignment 5 understanding quadrilaterals CBSE Class 8 Maths Assignment 6

Squares And Square Roots CBSE Class 8 Maths Assignment 1 Squares And Square Roots CBSE Class 8 Maths Assignment 2 Squares And Square Roots CBSE Class 8 Maths Assignment 3 Squares And Square Roots CBSE Class 8 Maths Assignment 4 Squares And Square Roots CBSE Class 8 Maths Assignment 5 Squares And Square Roots CBSE Class 8 Maths Assignment 6 Squares And Square Roots CBSE Class 8 Maths Assignment 7 Squares And Square Roots CBSE Class 8 Maths Assigment 8

Rational Numbers CBSE Class 8 Maths Assignment 1 Rational Numbers CBSE Class 8 Maths Assignment 2 Rational Numbers CBSE Class 8 Maths Assignment 3 Rational Numbers CBSE Class 8 Maths Assignment 4 Rational Numbers CBSE Class 8 Maths Assignment 5 Rational Numbers CBSE Class 8 Maths Assignment 6 Rational Numbers CBSE Class 8 Maths Assignment 7 Rational Numbers CBSE Class 8 Maths MCQ 1 Rational Numbers CBSE Class 8 Maths MCQ 2 Rational Numbers CBSE Class 8 Maths MCQ 3 Practical Geometry CBSE Class 8 Maths Assignment 1 Practical Geometry CBSE Class 8 Maths Assignment 2 Practical Geometry CBSE Class 8 Maths Assignment 3 Practical Geometry CBSE Class 8 Maths Assignment 4 Practical Geometry CBSE Class 8 Maths Assignment 5

Mensuration CBSE Class 8 Maths Assignment 1 Mensuration CBSE Class 8 Maths Assignment 2 Mensuration CBSE Class 8 Maths Assignment 4 Mensuration CBSE Class 8 Maths Assignment 5 Mensuration CBSE Class 8 Maths Assignment 6 Mensuration CBSE Class 8 Maths Assignment 7 Linear Equations CBSE Class 8 Maths MCQ 1 Linear Equations CBSE Class 8 Maths MCQ 2 Linear Equations CBSE Class 8 Maths MCQ 3 Linear Equations CBSE Class 8 Maths MCQ 4 Linear Equations In One Variable CBSE Class 8 Maths Concepts Linear Equations CBSE Class 8 Maths Assignment 01 Linear Equations CBSE Class 8 Maths Assignment 02 Linear Equations CBSE Class 8 Maths Assignment 03 Linear Equations CBSE Class 8 Maths Assignment 04 Linear Equations CBSE Class 8 Maths Assignment 05 Linear Equations CBSE Class 8 Maths Assignment 06 Linear Equations CBSE Class 8 Maths Assignment 07

Introduction to Graphs CBSE Class 8 Concepts Introduction to Graphs CBSE Class 8 Assignment 1 Introduction to Graphs CBSE Class 8 Assignment 2 Introduction to Graphs CBSE Class 8 Assignment 3 Introduction to Graphs CBSE Class 8 Assignment 4 Introduction to Graphs CBSE Class 8 Assignment 5 Introduction to Graphs CBSE Class 8 Assignment 6

Factorisation CBSE Class 8 Maths Concepts Factorisation CBSE Class 8 Maths Assignment 4 Factorisation CBSE Class 8 Maths Assignment 5 Factorisation CBSE Class 8 Maths Assignment 6 Factorisation CBSE Class 8 Maths Assignment 7 Factorisation CBSE Class 8 Maths Assignment 8 Factorisation CBSE Class 8 Maths Assignment 9 Factorisation CBSE Class 8 Maths Assignment 10 Factorisation CBSE Class 8 Maths Assignment 11

Exponents and Powers CBSE Class 8 Maths Concepts Exponents and Powers CBSE Class 8 Maths Assignment 4 Exponents and Powers CBSE Class 8 Maths Assignment 5 Exponents and Powers CBSE Class 8 Maths Assignment 6 Exponents and Powers CBSE Class 8 Maths Assignment 7 Exponents and Powers CBSE Class 8 Maths Assignment 8 Exponents and Powers CBSE Class 8 Maths Assignment 9 Exponents and Powers CBSE Class 8 Maths Assignment 10 Exponents and Powers CBSE Class 8 Maths Assignment 11 Exponents and Powers CBSE Class 8 Maths Assignment 12

Direct and Inverse Proportions CBSE Class 8 Maths Concepts Direct and Inverse Proportions CBSE Class 8 Maths Assignment 4 Direct and Inverse Proportions CBSE Class 8 Maths Assignment 5 Direct and Inverse Proportions CBSE Class 8 Maths Assignment 6 Direct and Inverse Proportions CBSE Class 8 Maths Assignment 7

Data Handling CBSE Class 8 Maths Assignment 1 Data Handling CBSE Class 8 Maths Assignment 02 Data Handling CBSE Class 8 Maths Assignment 03 Data Handling CBSE Class 8 Maths Assignment 04 Data Handling CBSE Class 8 Maths Assignment 05 Data Handling CBSE Class 8 Maths Assignment 06

Cubes And Cube Roots CBSE Class 8 Maths Assignment 1 Cubes And Cube Roots CBSE Class 8 Maths Assignment 2 Comparing Quantities CBSE Class 8 Maths Assignment 01 A Comparing Quantities CBSE Class 8 Maths Assignment 01 B Comparing Quantities CBSE Class 8 Maths Assignment 02 Comparing Quantities CBSE Class 8 Maths Assignment 3 Comparing Quantities CBSE Class 8 Maths Assignment 4 Comparing Quantities CBSE Class 8 Maths Assignment 5 Comparing Quantities CBSE Class 8 Maths Assignment 6 Comparing Quantities CBSE Class 8 Maths Assignment 7 CBSE Class 8 Mathematics Practice Worksheets 1 CBSE Class 8 Mathematics Practice Worksheets 2 CBSE Class 8 Mathematics Practice Worksheets 3 CBSE Class 8 Mathematics Practice Worksheets 4 CBSE Class 8 Mathematics Practice Worksheets 5 CBSE Class 8 Mathematics Practice Worksheets 6 CBSE Class 8 Mathematics Practice Worksheets 7 CBSE Class 8 Mathematics Practice Worksheets 8 CBSE Class 8 Mathematics Practice Worksheets 9 CBSE Class 8 Mathematics Practice Worksheets 10 Algebraic expression and identities CBSE Class 8 Maths Concepts CBSE Class 8 Worksheets Revision 01 CBSE Class 8 Maths Worksheet CBSE Class 8 Maths Worksheet 02 CBSE Class 8 Maths Worksheet 03 CBSE Class 8 Maths Worksheet 04 CBSE Class 8 Maths Worksheet 05 CBSE Class 8 Maths Worksheet 06 CBSE Class 8 Maths Worksheet 07 CBSE Class 8 Maths Worksheet 08 CBSE Class 8 Maths Worksheet 09 CBSE Class 8 Maths Worksheet 10 CBSE Class 8 Maths Worksheet 11 CBSE Class 8 Maths Worksheet 12

CBSE Class 8 Maths Worksheets square and square roots Concepts

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NCERT Solutions for Class 8 Maths Free PDF Download

Ncert solutio ns for class 8 maths.

NCERT Solutions for Class 8 Maths will help you to ace the unsolved problems in the maths book prescribed by the CBSE. NCERT Solutions for Class 8 breaks down the solutions into detailed steps to increase your score in exams.

NCERT Solutions are prepared by our team of highly professional, qualified and experienced faculties. These NCERT Solutions for Class 8 Maths helps you to quickly grasp all the concepts and formulas of maths. In case you have a doubt while you are studying NCERT Solutions for Class 8 Maths which we are providing, for this, we have a team of teachers who are just a click away to solve your doubt any time.

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Download NCERT Solutions for Class 8 here.

NCERT Solutions for Class 8 Maths Chapter-wise

• Chapter 1- Rational Numbers
• Chapter 2 – Linear Equations in One Variable
• Chapter 3 – Understanding Quadrilaterals
• Chapter 4 – Practical Geometry
• Chapter 5 – Data Handling
• Chapter 6 – Square and Square Roots
• Chapter 7 – Cube and Cube Roots
• Chapter 8 – Comparing Quantities
• Chapter 9 – Algebraic Expressions and Identities
• Chapter 10 – Visualising Solid Shapes
• Chapter 11- Mensuration
• Chapter 12 – Exponents and Powers
• Chapter 13 – Direct and Inverse Proportions
• Chapter 14 – Factorisation
• Chapter 15 – Introduction to Graphs
• Chapter 16 – Playing with Numbers

CBSE Class 8 Maths Chapter-wise NCERT Solutions

Ncert solutions for class 8 maths chapter 1 – rational numbers.

In this chapter will learn the properties of real numbers, rational numbers, representation of a rational number on number line, additive and multiplicative identity.

NCERT Solutions for Class 8 Maths Chapter 2 – Linear Equations in One Variable

In this chapter you will learn the concept of linear equation and methods to solve them, reducing equations to a simpler form and their applications.

NCERT Solutions for Class 8 Maths Chapter 3 – Understanding Quadrilaterals

In this chapter, you will learn the basics of a quadrilateral, polygon, kinds of quadrilateral and polygon, the measure of external angle of polygons.

NCERT Solutions for Class 8 Maths Chapter 4 – Practical Geometry

This chapter includes drawing 4 sides in a quadrilateral with 2 adjacent sides, 3 angles, and 1 diagonal area given.

NCERT Solutions for Class 8 Maths Chapter 5 – Data Handling

In this chapter you will learn to organize the data in a systematic method, represent the data in a pictograph, a bar graph, double bar graph, pie chart, and histogram.

NCERT Solutions for Class 8 Maths Chapter 6 – Square and Square Roots

In this chapter, you will learn about the squares of numbers and their properties, various patterns of squares, and square roots of numbers.

NCERT Solutions for Class 8 Maths Chapter 7 – Cube and Cube Roots

In this you will study about cubes of different numbers, cubes of numbers by adding consecutive odd numbers pattern, cube roots of a number, solving cube roots by prime factorization method.

NCERT Solutions for Class 8 Maths Chapter 8 – Comparing Quantities

In this chapter you will compare quantities, increase or decrease of percentage, discount, profit and loss, vat tax, sales tax, computing interest.

NCERT Solutions for Class 8 Maths Chapter 9 – Algebraic Expressions and Identities

In this chapter, you will learn about the algebraic expressions and their types, like and unlike terms, addition and subtraction, multiplication of algebraic expressions, standard identities and their implementation.

NCERT Solutions for Class 8 Maths Chapter 10 – Visualizing Solid Shapes

In this chapter, you will study the cubes, cuboids, cones, cylinders, spheres, hemispheres and their area, triangular pyramids, triangular and square base prisms, application of Euler’s formula.

NCERT Solutions for Class 8 Maths Chapter 11 – Mensuration

In this chapter, you will learn about the perimeter and areas of plane closed figure and surface area, the volume of a solid figure, transform the quantity into other units.

NCERT Solutions for Class 8 Maths Chapter 12 – Exponents and Powers

In this chapter you will study powers with negative exponents, laws of exponents, express the numbers in standard form and comparison of extremely large numbers.

NCERT Solutions for Class 8 Maths Chapter 13 – Direct and Inverse Proportions

In this chapter, you will solve the problems related to direct and inverse proportion and their identification based on relative increase or decrease of a quantity with respect to the first one.

NCERT Solutions for Class 8 Maths Chapter 14 – Factorization

In this chapter, you will learn methods of factorization, division of algebraic expression, error finding in algebraic equations.

NCERT Solutions for Class 8 Maths Chapter 15 – Introduction to Graphs

In this, you will study the representations of data by a bar graph, histogram, pie chart, line graph, and linear graph, application based on the graph using the dependent & independent variable.

NCERT Solutions for Class 8 Maths Chapter 16: Playing with Numbers

In this chapter, you will deal with numbers in a general form, puzzles related to numbers, divisibility tests.

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Solved Questions For You:

Question 1. For which of these would you use a histogram to show the data? (a) The number of letters for different areas in a postman’s bag. (b) The height of competitors in an athletics meet. (c) The number of cassettes produced by  5  companies. (d) The number of passengers boarding trains from  7 : 0 0  a.m. to  7 : 0 0  p.m. at a station. Give reasons for each.

(a) We can’t use the histogram in this case because we cannot define the class intervals for this data.

(b) We can use histogram here because it will be easy to divide the data into class intervals.

(c) We do not have approximate data we won’t use a histogram. We do not know about the number of cassettes produced by companies.

Question 2. List the outcomes you can see in these experiments.

(a) Possible outcomes would be:  A , B , C , D

Question 3. When a die is thrown, list the outcomes of an event of getting

(i) (a) a prime number (b) not a prime number. (ii) (a) a number greater than 5 (b) a number not greater than  5

Possible outcomes:  1 , 2 , 3 , 4 , 5 , 6 (i) (a) Prime numbers:  2 , 3 , 5 It represents the outcomes of Prime numbers (b) Not a prime number:  1 , 4 , 6 It represents the outcomes of not prime numbers. (ii) (a) A number greater than  5 : Only when  6  comes (b) Number not greater than  5 : Only when outcomes:  1 , 2 , 3 , 4  and  5

Question 4. A survey was made to find the type of music that a certain group of young people liked in a city. The adjoining pie chart shows the findings of this survey.

From this pie chart answer the following: (i) If  2 0  people liked classical music, how many young people were surveyed? (ii) Which type of music is liked by the maximum number of people? (iii) If a cassette company were to make  1 0 0 0  CDs, how many of each type would they make?

The light chart represents the maximum number as it is  4 0 % of the total.  ∴  Light music is liked by max. people.

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NCERT Solutions for Class 8

• NCERT Solutions for Class 8 Chemistry Chapter 3 Free PDF Download
• NCERT Solutions for Class 8 Chemistry Chapter 4 Free PDF Download
• NCERT Solutions for Class 8 Chemistry Chapter 5 Free PDF Download
• NCERT Solutions for Class 8 Physics Chapter 11 Free PDF Download
• NCERT Solutions for Class 8 Physics Chapter 16 Free PDF Download
• NCERT Solutions for Class 8 Physics Chapter 13 Free PDF Download
• NCERT Solutions for Class 8 History Chapter 3 Free PDF Download
• NCERT Solutions for Class 8 History Chapter 2 Free PDF Download
• NCERT Solutions for Class 8 History Chapter 6 Free PDF Download
• NCERT Solutions for Class 8 Science Cell Chapter 8 Free PDF Download

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8th Grade Mathematics Worksheets: FREE & Printable

Looking for free printable Math worksheets and exercises to help your 8th-grade students prepare for the 8th Grade Mathematics test?

Need 8th Grade Mathematics Practice exercises and activities to measure your students’ exam readiness? want great 8th Grade Math worksheets to help your students review and master math concepts? If so, then look no further.

Here is a comprehensive and perfect collection of FREE 8th Grade Mathematics worksheets that would help your students in 8th Grade Math preparation and practice.

You can download free 20+ 8th grade math worksheets from Bytelearn.

Download our free Mathematics worksheets for the 8th Grade test.

Hope you enjoy it!

IMPORTANT: COPYRIGHT TERMS: These worksheets are for personal use. Worksheets may not be uploaded to the internet, including classroom/personal websites or network drives. You can download the worksheets and print as many as you need. You can distribute the printed copies to your students, teachers, tutors, and friends. 

You Do NOT have permission to send these worksheets to anyone in any way (via email, text messages, or other ways). They MUST download the worksheets themselves. You can send the address of this page to your students, tutors, friends, etc.

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Related Topics

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• Grade 6 Mathematics Worksheets
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The BEST Prep Book to Help Your Student ACE the Grade 8 Math!

Mastering Grade 8 Math The Ultimate Step by Step Guide to Acing 8th Grade Math

8th grade mathematics concepts, whole numbers.

• Whole Number Addition and Subtraction
• Whole Number Multiplication and Division
• Rounding and Estimates

Fractions and Decimals

• Simplifying Fractions
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions
• Adding and Subtracting Mixed Numbers
• Multiplying and Dividing Mixed Numbers
• Adding and Subtracting Decimals
• Multiplying and Dividing Decimals
• Comparing Decimals
• Rounding Decimals
• Factoring Numbers
• Greatest Common Factor
• Least Common Multiple

Real Numbers and Integers

• Adding and Subtracting Integers
• Multiplying and Dividing Integers
• Order of Operations
• Ordering Integers and Numbers
• Integers and Absolute Value

Proportions, Ratios, and Percent

• Simplifying Ratios
• Proportional Ratios
• Similarity and Ratios
• Ratio and Rates Word Problems
• Percentage Calculations
• Percent Problems
• Discount, Tax and Tip
• Percent of Change
• Simple Interest

Algebraic Expressions

• Simplifying Variable Expressions
• Simplifying Polynomial Expressions
• Translate Phrases into an Algebraic Statement
• The Distributive Property
• Evaluating One Variable Expressions
• Evaluating Two Variables Expressions
• Combining like Terms

Equations and Inequalities

• One-Step Equations
• Multi-Step Equations
• Graphing Single–Variable Inequalities
• One-Step Inequalities
• Multi-Step Inequalities

Systems of Equations

• Systems of Equations Word Problems
• Quadratic Equation

The Best Math Study Guide for 8th-Grade Students!

Grade 8 Math for Students The Ultimate Step by Step Guide to Preparing for the Grade 8 Math Test

Linear functions.

• Finding Slope
• Graphing Lines Using Line Equation
• Writing Linear Equations
• Graphing Linear Inequalities
• Finding Midpoint
• Finding Distance of Two Points

Exponents and Radicals

• Multiplication Property of Exponents
• Zero and Negative Exponents
• Division Property of Exponents
• Powers of Products and Quotients
• Negative Exponents and Negative Bases
• Scientific Notation
• Square Roots

Polynomials

• Writing Polynomials in Standard Form
• Simplifying Polynomials
• Adding and Subtracting Polynomials
• Multiplying Monomials
• Multiplying and Dividing Monomials
• Multiplying a Polynomial and a Monomial
• Multiplying Binomials
• Factoring Trinomials
• Operations with Polynomials

Geometry and Solid Figures

• Pythagorean Relationship
• Rectangular Prism
• Pyramids and Cone

Statistics and Probability

• Mean and Median
• Mode and Range
• Stem–and–Leaf Plot
• Probability Problems
• Combinations and Permutations

The BEST Practice Book for 8th Grade Math!

Mastering Grade 8 Math Word Problems The Ultimate Guide to Tackling 8th Grade Math Word Problems

8th grade math exercises, proportions and ratios, solid figures, function operations.

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Mastering grade 5 math word problems the ultimate guide to tackling 5th grade math word problems, mastering grade 7 math word problems the ultimate guide to tackling 7th grade math word problems, staar grade 8 math comprehensive prep bundle a perfect resource for staar math test takers.

by: Effortless Math Team about 4 years ago (category: Blog , Free Math Worksheets )

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Eighth grade math

IXL offers hundreds of eighth grade math skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

A. Integers

• 1 Compare and order integers
• 2 Integer addition and subtraction rules
• 3 Add and subtract integers using counters
• 4 Add and subtract integers
• 5 Add and subtract three or more integers
• 6 Add and subtract integers: word problems
• 7 Integer multiplication and division rules
• 8 Multiply and divide integers
• 9 Evaluate numerical expressions involving integers

B. Rational numbers

• 1 Convert between repeating decimals and fractions
• 2 Convert between decimals and fractions or mixed numbers
• 3 Compare rational numbers
• 4 Put rational numbers in order
• 5 Reciprocals and multiplicative inverses
• 6 Add and subtract rational numbers
• 7 Add and subtract rational numbers: word problems
• 8 Apply addition and subtraction rules
• 9 Multiply and divide rational numbers
• 10 Multiply and divide rational numbers: word problems
• 11 Apply multiplication and division rules
• 12 Apply addition, subtraction, multiplication, and division rules
• 13 Evaluate numerical expressions involving rational numbers
• 14 Multi-step word problems

C. Exponents

• 1 Understanding exponents
• 2 Evaluate powers
• 3 Solve equations with variable exponents
• 4 Powers with negative bases
• 5 Powers with decimal and fractional bases
• 6 Understanding negative exponents
• 7 Evaluate powers with negative exponents
• 8 Evaluate powers with negative or zero exponents
• 9 Multiply powers: integer bases
• 10 Divide powers: integer bases
• 11 Multiply and divide powers: integer bases
• 12 Power of a power: integer bases
• 13 Evaluate expressions using properties of exponents
• 14 Identify equivalent expressions involving exponents I
• 15 Identify equivalent expressions involving exponents II
• 16 Multiply powers: variable bases
• 17 Divide powers: variable bases
• 18 Multiply and divide powers: variable bases
• 19 Powers of a power: variable bases

D. Scientific notation

• 1 Convert between standard and scientific notation
• 2 Scientific notation on calculators
• 3 Compare numbers written in scientific notation
• 4 Add and subtract numbers written in scientific notation
• 5 Multiply numbers written in scientific notation
• 6 Divide numbers written in scientific notation

E. Square roots and cube roots

• 1 Square roots of perfect squares
• 2 Estimate positive square roots
• 3 Positive and negative square roots
• 4 Estimate positive and negative square roots
• 5 Relationship between squares and square roots
• 6 Solve equations using square roots
• 7 Cube roots of positive perfect cubes
• 8 Cube roots of positive and negative perfect cubes
• 9 Solve equations using cube roots
• 10 Estimate cube roots

F. Rational and irrational numbers

• 1 Identify rational and irrational square roots
• 2 Identify rational and irrational numbers
• 3 Classify numbers
• 4 Irrational numbers on number lines
• • New! Compare and order rational and irrational numbers

G. Proportions

• 1 Solve proportions
• 2 Solve proportions: word problems
• 3 Estimate population size using proportions
• 4 Scale drawings: word problems
• 5 Scale drawings: scale factor word problems

H. Percents

• 1 Convert between percents, fractions, and decimals
• 2 Compare percents to fractions and decimals
• 3 Find what percent one number is of another
• 4 Find what percent one number is of another: word problems
• 5 Estimate percents of numbers
• 6 Percents of numbers and money amounts
• 7 Percents of numbers: word problems
• 8 Compare percents of numbers
• 9 Solve percent equations
• 10 Percent of change
• 11 Percent of change: word problems
• 12 Percent of change: find the original amount word problems

I. Consumer math

• 1 Price lists
• 2 Unit prices
• 3 Unit prices with unit conversions
• 4 Unit prices: find the total price
• 5 Percent of a number: tax, discount, and more
• 6 Find the percent: tax, discount, and more
• 7 Sale prices: find the original price
• 8 Multi-step problems with percents
• 9 Estimate tips
• 10 Simple interest
• 11 Compound interest

J. Units of measurement

• 1 Convert rates and measurements: customary units
• 2 Convert rates and measurements: metric units
• 3 Mixed customary units
• 4 Convert between customary and metric systems
• 5 Convert between Celsius and Fahrenheit

K. Expressions

• 1 Write variable expressions: one operation
• 2 Write variable expressions: two or three operations
• 3 Write variable expressions from diagrams
• 4 Write variable expressions: word problems
• 5 Evaluate one-variable expressions
• 6 Evaluate multi-variable expressions
• 7 Evaluate absolute value expressions
• 8 Evaluate radical expressions
• 9 Evaluate rational expressions
• 10 Identify terms and coefficients
• 11 Sort factors of variable expressions

L. Equivalent expressions

• 1 Properties of addition and multiplication
• 2 Multiply using the distributive property
• 3 Write equivalent expressions using properties
• 4 Add and subtract like terms
• 5 Add and subtract linear expressions
• 6 Factors of linear expressions
• 7 Identify equivalent linear expressions I
• 8 Identify equivalent linear expressions II
• 9 Identify equivalent linear expressions: word problems

M. One-variable equations

• 1 Which x satisfies an equation?
• 2 Write an equation from words
• 3 Model and solve equations using algebra tiles
• 4 Write and solve equations that represent diagrams
• 5 Properties of equality
• 6 Identify equivalent equations
• 7 Solve one-step equations
• 8 Solve two-step equations
• 9 Solve two-step equations: complete the solution
• 10 Solve one-step and two-step equations: word problems
• 11 Solve equations involving like terms
• 12 Solve equations with variables on both sides
• 13 Solve equations with variables on both sides: fractional coefficients
• 14 Solve equations with variables on both sides: word problems
• 15 Solve equations with the distributive property
• 16 Solve multi-step equations
• 17 Solve multi-step equations with fractional coefficients
• 18 Solve equations: mixed review
• 19 Solve multi-step equations: complete the solution
• 20 Find the number of solutions
• 21 Create equations with no solutions or infinitely many solutions

N. One-variable inequalities

• 1 Solutions to inequalities
• 2 Graph inequalities on number lines
• 3 Write inequalities from number lines
• 4 Solve one-step inequalities
• 5 Graph solutions to one-step inequalities
• 6 Solve two-step inequalities
• 7 Graph solutions to two-step inequalities
• 8 Solve multi-step inequalities
• 9 Graph solutions to multi-step inequalities
• 10 Solve inequalities with integers: variables on both sides
• 11 Solve inequalities with decimals: variables on both sides

O. Coordinate plane

• 1 Coordinate plane review
• 2 Quadrants and axes
• 3 Follow directions on a coordinate plane
• 4 Find the distance between two points

P. Lines and angles

• 1 Identify complementary, supplementary, vertical, adjacent, and congruent angles
• 2 Find measures of complementary, supplementary, vertical, and adjacent angles
• 3 Write and solve equations using angle relationships
• 4 Identify alternate interior and alternate exterior angles
• 5 Transversals of parallel lines: name angle pairs
• 6 Transversals of parallel lines: find angle measures
• 7 Transversals of parallel lines: solve for x
• 8 Find lengths and measures of bisected line segments and angles

Q. Two-dimensional figures

• 1 Identify and classify polygons
• 2 Classify triangles
• 3 Identify trapezoids
• 4 Classify quadrilaterals I
• 5 Classify quadrilaterals II
• 6 Graph triangles and quadrilaterals
• 7 Find missing angles in triangles
• 8 Find missing angles in triangles using ratios
• 9 Triangle Angle-Sum Theorem
• 10 Find missing angles in quadrilaterals I
• 11 Find missing angles in quadrilaterals II
• 12 Exterior Angle Theorem
• 13 Interior angles of polygons
• 14 Parts of a circle

R. Transformations and congruence

• 1 Identify reflections, rotations, and translations
• 2 Describe a sequence of transformations
• 3 Translations: graph the image
• 4 Translations: find the coordinates
• 5 Translations: write the rule
• 6 Reflections over the x- and y-axes: graph the image
• 7 Reflections over the x- and y-axes: find the coordinates
• 8 Reflections: graph the image
• 9 Reflections: find the coordinates
• 10 Rotations: graph the image
• 11 Rotations: find the coordinates
• 12 Reflections and rotations: write the rule
• 13 Describe transformations
• 14 Sequences of congruence transformations: graph the image
• 15 Sequences of congruence transformations: choose the sequence
• 16 Identify congruent figures
• 17 Congruence statements and corresponding parts
• 18 Determine if two figures are congruent: justify your answer
• 19 Side lengths and angle measures of congruent figures

S. Transformations and similarity

• 1 Similar and congruent figures
• 2 Dilations: graph the image
• 3 Dilations: find the coordinates
• 4 Dilations: find the scale factor
• 5 Identify similar triangles
• 6 Angle-angle criterion for similar triangles
• 7 Side lengths and angle measures of similar triangles
• 8 Side lengths and angle measures of similar figures
• 9 Similar triangles and indirect measurement
• 10 Find missing side lengths in proportional triangles

T. Pythagorean theorem

• 1 Pythagorean theorem: find the length of the hypotenuse
• 2 Pythagorean theorem: find the missing leg length
• 3 Pythagorean theorem: find the missing leg or hypotenuse length
• 4 Pythagorean theorem: find the perimeter
• 5 Pythagorean theorem: word problems
• 6 Converse of the Pythagorean theorem: is it a right triangle?

U. Three-dimensional figures

• 1 Parts of three-dimensional figures
• 2 Nets of three-dimensional figures
• 3 Front, side, and top view
• 4 Similar solids

V. Perimeter and area

• 1 Perimeter
• 3 Area and perimeter: word problems
• 4 Area and circumference of circles
• 5 Circles: word problems
• 6 Area and perimeter of semicircles and quarter circles
• 7 Area between two shapes
• 8 Perimeter and area: changes in scale

W. Surface area and volume

• 1 Volume of cubes, prisms, and pyramids
• 2 Surface area of cubes, prisms, and pyramids
• 3 Volume of cylinders
• 4 Volume of cones
• 5 Surface area of cylinders
• 6 Surface area of cones
• 7 Volume of spheres
• 8 Surface area of spheres
• 9 Volume and surface area of similar solids

X. Proportional relationships

• 1 Find the constant of proportionality from a table
• 2 Write equations for proportional relationships from tables
• 3 Identify proportional relationships by graphing
• 4 Find the constant of proportionality from a graph
• 5 Write equations for proportional relationships from graphs
• 6 Identify proportional relationships from graphs and equations
• 7 Identify proportional relationships from tables
• 8 Identify proportional relationships: word problems
• 9 Graph proportional relationships and find the slope
• 10 Interpret graphs of proportional relationships
• 11 Write and solve equations for proportional relationships
• 12 Compare proportional relationships represented in different ways

Y. Direct variation

• 1 Find the constant of variation
• 2 Identify direct variation
• 3 Write direct variation equations
• 4 Write and solve direct variation equations
• 1 Find the slope from a graph
• 2 Find the slope from two points
• 3 Find the slope from a table
• 4 Find a missing coordinate using slope
• 5 Graph a line using slope

AA. Linear equations

• 1 Is (x, y) a solution to the linear equation?
• 2 Relate the graph of an equation to its solutions
• 3 Slope-intercept form: find the slope and y-intercept
• 4 Graph a line from an equation in slope-intercept form
• 5 Graph a line from an equation in point-slope form
• 6 Write a linear equation from a slope and y-intercept
• 7 Write a linear equation from a graph
• 8 Write a linear equation from a slope and a point
• 9 Write a linear equation from two points
• 10 Convert a linear equation in standard form to slope-intercept form
• 11 Graph a line from an equation in standard form
• 12 Graph a horizontal or vertical line
• 13 Equations of horizontal and vertical lines
• 14 Slopes of parallel and perpendicular lines

BB. Function concepts

• 1 Identify functions
• 2 Identify functions: graphs
• 3 Identify independent and dependent variables
• 4 Find values using function graphs
• 5 Complete a table for a function graph
• 6 Domain and range of functions

CC. Linear functions

• 1 Evaluate a linear function
• 2 Complete a table for a linear function
• 3 Complete a table and graph a linear function
• 4 Interpret points on the graph of a linear function
• 5 Rate of change of a linear function: graphs
• 6 Interpret the slope and y-intercept of a linear function
• 7 Write a linear function from a table
• 8 Compare linear functions: graphs and equations
• 9 Compare linear functions: tables, graphs, and equations
• 10 Write linear functions: word problems
• 11 Evaluate a linear function: word problems

DD. Nonlinear functions

• 1 Identify linear and nonlinear functions: graphs and equations
• 2 Identify linear and nonlinear functions: tables
• 3 Is (x, y) a solution to the nonlinear equation?
• 4 Evaluate a nonlinear function

EE. Interpret functions

• 1 Rate of change: tables
• 2 Rate of change: graphs
• 3 Identify graphs: word problems

FF. Sequences

• 1 Identify arithmetic and geometric sequences
• 2 Arithmetic sequences
• 3 Geometric sequences
• 4 Sequences: mixed review
• 5 Sequences: word problems
• 6 Evaluate variable expressions for sequences
• 7 Write variable expressions for arithmetic sequences

GG. Systems of equations

• 1 Is (x, y) a solution to the system of equations?
• 2 Solve a system of equations by graphing
• 3 Solve a system of equations by graphing: word problems
• 4 Find the number of solutions to a system of equations by graphing
• 5 Find the number of solutions to a system of equations
• 6 Classify a system of equations by graphing
• 7 Classify a system of equations
• 8 Solve a system of equations using substitution
• 9 Solve a system of equations using substitution: word problems
• 10 Solve a system of equations using elimination
• 11 Solve a system of equations using elimination: word problems
• 12 Solve a system of equations using any method
• 13 Solve a system of equations using any method: word problems

HH. One-variable statistics

• 1 Calculate mean, median, mode, and range
• 2 Interpret charts and graphs to find mean, median, mode, and range
• 3 Mean, median, mode, and range: find the missing number
• 4 Changes in mean, median, mode, and range
• 5 Calculate mean absolute deviation
• 6 Calculate quartiles and interquartile range
• 7 Box plots
• 8 Identify an outlier
• 9 Identify an outlier and describe the effect of removing it

II. Two-variable statistics

• 1 Interpret line graphs
• 2 Create line graphs
• 3 Interpret scatter plots
• 4 Create scatter plots
• 5 Identify trends with scatter plots
• 6 Make predictions with scatter plots
• 7 Outliers in scatter plots
• 8 Identify lines of best fit
• 9 Write equations for lines of best fit
• 10 Interpret lines of best fit: word problems
• 11 Identify representative, random, and biased samples

JJ. Probability

• 1 Probability of simple events
• 2 Probability of opposite, mutually exclusive, and overlapping events
• 3 Experimental probability
• 4 Find probabilities using two-way frequency tables
• 5 Make predictions
• 6 Compound events: find the number of outcomes
• 7 Compound events: find the number of sums
• 8 Identify independent and dependent events
• 9 Probability of independent and dependent events
• 10 Counting principle

Eighth grade lessons

These lessons help you brush up on important math topics and prepare you to dive into skill practice!

• Additive inverses
• Adding and subtracting integers
• Multiplying and dividing integers

Rational and irrational numbers

• Rational numbers
• Adding and subtracting rational numbers
• Multiplying and dividing rational numbers
• Irrational numbers

Exponents, scientific notation, and roots

• Properties of exponents
• Scientific notation
• Adding and subtracting numbers in scientific notation
• Multiplying and dividing numbers in scientific notation
• Square roots
• Proportional relationships
• Constant of proportionality
• Simple interest
• Percent change

Two-dimensional figures

• Parts of a circle
• Area of circles
• Circumference of circles
• Complementary angles
• Supplementary angles
• Adjacent angles
• Vertical angles
• Transversals of parallel lines
• Interior angles of triangles
• Exterior angles of triangles
• The Pythagorean theorem
• The converse of the Pythagorean theorem
• Distance formula

Transformations, congruence, and similarity

• Transformations
• Translations
• Reflections
• Similar triangles

Three-dimensional figures

• Surface area formulas
• Volume formulas
• Volume of prisms
• Volume of cylinders
• Volume of pyramids
• Volume of cones
• Volume of spheres

Expressions

• Writing algebraic expressions
• Evaluating expressions
• Simplifying expressions
• The distributive property
• Expanding expressions
• Factoring expressions

Equations and inequalities

• Solving equations
• Multi-step equations
• Equations with infinitely many or no solutions
• Solving inequalities
• Linear equations
• Slope-intercept form
• Point-slope form
• Standard form of linear equations
• Equations of parallel and perpendicular lines
• Systems of equations
• Relations and functions
• Independent and dependent variables
• Linear functions
• Domain and range

Data and graphs

• Box and whisker plots
• Scatter plots
• Correlation
• Line of best fit
• Two-way tables

CBSE NCERT Solutions

NCERT and CBSE Solutions for free

Class 8 Mathematics Algebraic Expressions And Identities Assignments

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